Exercise · ZW-SET-001 · ★☆☆ Basic
Which of the following best describes a set?
Choose one option.
Show answer
- A. A well-defined collection of objects
Explanation
A set is a well-defined collection: given any object, it can be decided without ambiguity whether it belongs or not. It does not have to be finite (ℕ is an infinite set) and it is not an operation; a list without a rule is not "well defined".
Review the concept: Set
A set is a well-defined collection of objects, called elements. Whether an object belongs to the set must be decidable without ambiguity.
\[x \in A \lor x \notin A\]
More practice problems: set
- ZW-SET-002 If x ∈ A, what does it mean?
- ZW-SET-003 If A = {1, 2, 3}, which statement is true?
- ZW-SET-004 Which symbol represents the empty set?
- ZW-SET-005 How many elements does A = {a, b} have?
- ZW-SET-006 If A = \1,2,3\, which statement is true?
- ZW-SET-007 Two sets are equal when...
- ZW-SET-008 Which statement is true?
- ZW-SET-009 If A = {∅}, then...